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Equations 5 and 6 can be expanded as given in Equations 7 and 8, respectively.
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The R: Pg ratio in eqns (42) has a simple interpretation with the Fig. 1 model because the denominator, 1 – x (say), can be expanded as 1 + x + x + x …, giving successive cycles of substrate use and re-use.
From (3), can be expanded as (20).
This can be expanded as (D.2).
Equation (16) can be expanded as (18).
Incorporating all these situations, (5) can be expanded as (6).
(1 - xM - 1) N can be expanded as.
The garage was expanded as well.
Associational freedoms have been expanding as well.
Pell grants should be expanded significantly as opposed to being cut because rising tuition costs, reduce the purchasing power of Pell grants given their current maximum award limit.
The methodology given can be expanded to the use of ionic liquids as entrainers in any azeotropic system of interest.
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